## Real Analysis: |

After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises. As with the other volumes in the series, Also available, the first two volumes in the Princeton Lectures in Analysis: "We are all fortunate that a mathematician with the experience and vision of E.M. Stein, together with his energetic young collaborator R. Shakarchi, has given us this series of four books on analysis." "This series is a result of a radical rethinking of how to introduce graduate students to analysis. . . . This volume lives up to the high standard set up by the previous ones." "As one would expect from these authors, the exposition is, in general, excellent. The explanations are clear and concise with many well-focused examples as well as an abundance of exercises, covering the full range of difficulty. . . . [I]t certainly must be on the instructor's bookshelf as a first-rate reference book."
- Beijing Lectures in Harmonic Analysis. (AM-112). [Paperback]
- Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11). [Paperback]
- Complex Analysis. [Hardcover]
- Fourier Analysis: An Introduction. [Hardcover]
- Functional Analysis: Introduction to Further Topics in Analysis. [Hardcover]
- Hardy Spaces on Homogeneous Groups. (MN-28). [Paperback]
- Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43). [Hardcover]
- Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). [Hardcover]
- Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24). [Paperback]
- Singular Integrals and Differentiability Properties of Functions (PMS-30). [Hardcover]
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63). [Paperback]
- Complex Analysis. [Hardcover]
- Fourier Analysis: An Introduction. [Hardcover]
- Functional Analysis: Introduction to Further Topics in Analysis. [Hardcover]
Hardcover: Not for sale in South Asia | |||||||

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